Clean Electricity and the Path to Net Zero: Methods and Insights
Abstract: The electricity sector is the linchpin in any path to net-zero greenhouse gas emissions. Electricity sector emissions must fall faster and deeper than any other sector, while simultaneously expanding to power greater shares of energy consumption in transportation, heating, industry and the production of clean fuels. How do we build the grid we need to decarbonize the economy? Prof. Jenkins will share insights from a decade of research on low-carbon electricity systems and pathways to a net-zero America and discuss novel methods…
Matrix displacement convexity and intrinsic dimensionality
Abstract: The space of probability measures endowed with the optimal transport metric has a rich structure with applications in probability, analysis, and geometry. The notion of (displacement) convexity in this space was discovered by McCann, and forms the backbone of this theory. I will introduce a new, and stronger, notion of displacement convexity which operates on the matrix level. The motivation behind this definition is to capture the intrinsic dimensionality of probability measures which could have very different behaviors along…
